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(a) Find the first and second partial derivatives of f by hand. Verify your answers

are correct using SageMath.

(b) Find the tangent plane to f at (2,3). Use this plane to approximate the value

of f(2.1, 2.95). How accurate is this approximation?/n(c) Find and classify the critical points of f.

(d) Find the local and global extrema of f on the domain -2 ≤ x ≤ 2, -3 ≤ y ≤ 3.

(e) Plot f on the domain -2 ≤ x ≤ 2, -3 ≤ y ≤ 3. Relate your results from the

previous part to the plot.

Fig: 1

Fig: 2